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Euclid: Elementa

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Euclid: Elementa
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Click to Expand/Collapse OptionBook I
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gre IΙ,9
ἔστι δὲ καὶ τὸ ἀπὸ τῆς ΕΑ διπλάσιον τοῦ ἀπὸ τῆς ΑΓ:
Pic623
Pic662
eng
But the square on EA is also double of the square on AC;
lat Sic
Est autem et quod ab EA duplum eius quod ab AG.
lat Gerard
Iam quoque ostensum est, quod quadratum quod fit ex linea EA duplum est quadrati facti ex linea AG.
lat Adelard
No Latin
lat Hermann
No Latin
ara Uppsala
فقد تبين أيضا أن المربع الكائن من (ا ه) ضعف المربع الكائن من (ا ج)
ara Tuṣi
فمربعا (ا ه) (ه ز) أعني مربع (ا ز) بل مربعي (ا د) (د ز) أعني مربعي (ا د) (د ب) معا مساويان لضعف مربعي (ا ج) (ج د) 1
1. al-Ṭūsī here combines the remaining parts of II.9 in one sentence. AE² + EF² (therefore also AF², therefore also AD² + DF², therefore also AD² + DB²) = AC² + CD². The Taḥrīr continues here.
ara Nairizi p. 48-50
وقد بينا ان المربع الكائن من خط (ا ه) مساو لضعف المربع الكائن من خط (ا ج)
per Shirazi
.
san
No Sanskrit
lat Clavius
No Latin
kin 幾何原本
No Chinese
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